A factory is currently producing two products: Danish cookies and animal crackers. Each Danish cookie costs 4 cents to make, and each animal cracker costs 5 cents to make. This factory has $100,000 to spend making cookies and crackers this month. Cookies and crackers are made in batches of 1,000 each. For every 100 cookies produced, Danish cookies have 1 bad cookie, and for every 100 crackers produced, animal crackers have 3 bad crackers. These bad products are removed during the manufacturing process. The factory must make at least 10,000 quality cookies and 10,000 quality crackers this month. The products are each packaged and sold in bags of one dozen. Danish cookies sell for $8/dozen and animal crackers sell for $9/dozen. With these values, what is the maximum possible monthly profit this company can make?